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James Lindesay [6]James V. Lindesay [1]
  1. Canonical Proper Time Formulation for Physical Systems.James Lindesay & Tepper Gill - 2004 - Foundations of Physics 34 (1):169-182.
    The canonical proper time formulation of relativistic dynamics provides a framework from which one can describe the dynamics of classical and quantum systems using the clock of those very systems. The framework utilizes a canonical transformation on the time variable that is used to describe the dynamics, and does not transform other dynamical variables such as momenta or positions. This means that the time scales of the dynamics are described in terms of the natural local time coordinates, which is the (...)
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  2.  46
    A Nonperturbative, Finite Particle Number Approach to Relativistic Scattering Theory.Marcus Alfred, Petero Kwizera, James V. Lindesay & H. Pierre Noyes - 2004 - Foundations of Physics 34 (4):581-616.
    We present integral equations for the scattering amplitudes of three scalar particles, using the Faddeev channel decomposition, which can be readily extended to any finite number of particles of any helicity. The solution of these equations, which have been demonstrated to be calculable, provide a nonperturbative way of obtaining relativistic scattering amplitudes for any finite number of particles that are Lorentz invariant, unitary, cluster decomposable and reduce unambiguously in the nonrelativistic limit to the nonrelativistic Faddeev equations. The aim of this (...)
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  3.  64
    A Test of the Calculability of a Three-Body Relativistic, Cluster Decomposable, Unitary, Covariant Scattering Theory.Marcus Alfred & James Lindesay - 2003 - Foundations of Physics 33 (8):1253-1264.
    In this work a calculation of the cluster decomposable formalism for relativistic scattering as developed by Lindesay, Markevich, Noyes, and Pastrana (LMNP) is made for an ultra-light quantum model. After highlighting areas of the theory vital for calculation, a description is made of the process to go from the general theory to an eigen-integral equation for bound state problems, and calculability is demonstrated. An ultra-light quantum exchange model is then developed to examine calculability.
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    Nonperturbative, Unitary Quantum-Particle Scattering Amplitudes From Three-Particle Equations.James Lindesay & H. Pierre Noyes - 2004 - Foundations of Physics 34 (10):1573-1606.
    We here use our nonperturbative, cluster decomposable relativistic scattering formalism to calculate photon–spinor scattering, including the related particle–antiparticle annihilation amplitude. We start from a three-body system in which the unitary pair interactions contain the kinematic possibility of single quantum exchange and the symmetry properties needed to identify and substitute antiparticles for particles. We extract from it a unitary two-particle amplitude for quantum–particle scattering. We verify that we have done this correctly by showing that our calculated photon–spinor amplitude reduces in the (...)
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  5.  11
    Construction of Non-Perturbative, Unitary Particle–Antiparticle Amplitudes for Finite Particle Number Scattering Formalisms.James Lindesay & H. Pierre Noyes - 2005 - Foundations of Physics 35 (5):699-741.
    Starting from a unitary, Lorentz invariant two-particle scattering amplitude, we show how to use an identification and replacement process to construct a unique, unitary particle–antiparticle amplitude. This process differs from conventional on-shell Mandelstam s, t, u crossing in that the input and constructed amplitudes can be off-diagonal and off-energy shell. Further, amplitudes are constructed using the invariant parameters which are appropriate to use as driving terms in the multi-particle, multichannel non-perturbative, cluster decomposable, relativistic scattering equations of the Faddeev-type integral equations (...)
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    Coordinates with Non-Singular Curvature for a Time Dependent Black Hole Horizon.James Lindesay - 2007 - Foundations of Physics 37 (8):1181-1196.
    A naive introduction of a dependency of the mass of a black hole on the Schwarzschild time coordinate results in singular behavior of curvature invariants at the horizon, violating expectations from complementarity. If instead a temporal dependence is introduced in terms of a coordinate akin to the river time representation, the Ricci scalar is nowhere singular away from the origin. It is found that for a shrinking mass scale due to evaporation, the null radial geodesics that generate the horizon are (...)
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  7.  11
    Self-Consistent Solutions of Canonical Proper Self-Gravitating Quantum Systems.James Lindesay - 2012 - Foundations of Physics 42 (12):1573-1585.
    Generic self-gravitating quantum solutions that are not critically dependent on the specifics of microscopic interactions are presented. The solutions incorporate curvature effects, are consistent with the universality of gravity, and have appropriate correspondence with Newtonian gravitation. The results are consistent with known experimental results that indicate the maintenance of the quantum coherence of gravitating systems, as expected through the equivalence principle.
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